| DOUBLE HIGH ORDER S－BREAKING BIFURCATION POINTS AND THEIR NUMERICAL DETERMINATION |
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| 引用本文： | 杨忠华,叶瑞松.DOUBLE HIGH ORDER S－BREAKING BIFURCATION POINTS AND THEIR NUMERICAL DETERMINATION[J].应用数学和力学(英文版),1996,17(7):633-646. |
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| 作者姓名： | 杨忠华 叶瑞松 |
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| 作者单位： | Yang Zhonghua;(Department of Mathematics，Shanghai University，Shanghai 201800，P. R. China)Ye Ruisong(Institute of Mathematics，Shantou University，Shantou 515063，P. R. China) |
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| 摘 要： | ＤＯＵＢＬＥＨＩＧＨＯＲＤＥＲＳ－ＢＲＥＡＫＩＮＧＢＩＦＵＲＣＡＴＩＯＮＰＯＩＮＴＳＡＮＤＴＨＥＩＲＮＵＭＥＲＩＣＡＬＤＥＴＥＲＭＩＮＡＴＩＯＮ￥(杨忠华，叶瑞松)ＹａｎｇＺｈｏｎｇｈｕａ；（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｓｈａｎｇｈ...
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| 关 键 词： | Z_2× Z_2-symmetry. double high order S-breaking bifurcation point. extended system |
| 收稿时间： | 4 May 1995 |
Double high order S-breaking bifurcation points and their numerical determination |
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| Yang Zhonghua,Ye Ruisong.Double high order S-breaking bifurcation points and their numerical determination[J].Applied Mathematics and Mechanics(English Edition),1996,17(7):633-646. |
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| Authors: | Yang Zhonghua Ye Ruisong |
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| Institution: | (1) Department of Mathematics, Shanghai University, 201800 Shanghai, P. R. China;(2) Institute of Mathematics, Shantou University, 515063 Shantou, P. R. China |
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| Abstract: | We consider double high order S-breaking bifurcation points of two-parameter dependent nonlinear problems with Z
2
XZ
2
-symmetry. Because of the underlying symmetry, we could propose some regular extended systems to determine double high order S-breaking bifurcation points, and we could also show that there exist two quadratic pitchfork bifurcation point paths passing through the point being considered.Project supported by State Major Key Project for Basic Research and the National Natural Science Foundation of China |
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| Keywords: | Z
2XZ
2-symmetry double high order S-breaking bifurcation point extended system |
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